Rotating 5D black holes: Interactions and deformations near extremality

We study a two-dimensional theory of gravity coupled to matter that is relevant to describe holographic properties of black holes with two equal angular momenta in five dimensions (with or without cosmological constant). We focus on the near-horizon geometry of the near-extremal black hole, where the effective theory reduces to JackiwTeitelboim (JT) gravity coupled to a massive scalar field. We compute the corrections to correlation functions due to cubic interactions present in this theory. A novel feature is that these corrections do not have a definite sign: for AdS5 black holes the sign depends on the mass of the extremal solution. We discuss possible interpretations of these corrections from a gravitational and holographic perspective. We also quantify the imprint of the JT sector on the UV region, i.e. how these degrees of freedom, characteristic for the near-horizon region, influence the asymptotically far region of the black hole. This gives an interesting insight on how to interpret the IR modes in the context of their UV completion, which depends on the environment that contains the black hole.

Automated summary

This study focuses on a two-dimensional theory of gravity coupled to matter to describe the holographic properties of five-dimensional black holes with two equal angular momenta. By computing corrections to correlation functions due to cubic interactions, it is found that the corrections do not have a definite sign and depend on the mass of the extremal solution for AdS5 black holes. Possible interpretations of these corrections from a gravitational and holographic perspective are discussed, along with quantifying the impact of the JT sector on the UV region of the black hole.